A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a .05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute?

Question: State the final conclustion that addresses the orginal claim

Reject or Fail to reject H0 (null). There is sufficient or not sufficient evidence to conclude that the original claim that the mean of the population of estimates is 60 seconds is not or is correct. It does not appear or appears that, as group, the students are reasonably good at estimating one minute.

Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they request. He asked 500 students at his school the following questions: "Are you in the Spanish club?" and "Did you get the Spanish class you requested?" The results are shown in the table below:

Help Josh determine if all students at his school have an equal opportunity to get the Spanish class they requested. Show your work and explain your process for determining the fairness of the class assignment process.

In an​ experiment, college students were given either four quarters or a​ $1 bill and they could either keep the money or spend it on gum. The results are summarized in the table. Complete parts​ (a) through​ (c) below. Purchased Gum Kept the Money Students Given Four Quarters 27 13 Students Given a​ $1 Bill 18 26 a. Find the probability of randomly selecting a student who spent the​ money, given that the student was given four quarters. The probability is nothing . ​(Round to three decimal places as​ needed.) b. Find the probability of randomly selecting a student who kept the​ money, given that the student was given four quarters. The probability is nothing . ​(Round to three decimal places as​ needed.) c. What do the preceding results​ suggest?

17. You're interested in sampling Stony Brook students to examine satisfaction with the university’s response to COVID-19. You want the percentage distribution of your final sample size of 500 to match the percentage distribution of the age distribution of Stony Brook students. Use the data provided by the office of Institutional Research in 1 to answer the question below. Use all available decimal places in your calculations.

Figure 1. Age distribution of 2019 fall undergraduate enrollees, Stony Brook University

Source: https://www.stonybrook.edu/commcms/irpe/fact_book/data_and_reports/enrollment.php

How many students under age 18, age 18-24, age 25-39, and age 40 and above should you include in your sample? (5 points)

A group of researchers has developed a method that they hypothesize will improve the reading ability of at-risk 1st grade students. They randomly selected nine students to participate in their study. The nine students were administered a reading test, then trained for 10 weeks using the new reading program, and then readministered the reading test. The following data are their scores:

Subject   1st Reading 2nd Reading

                  Score            Score

    1               23                19

    2               20                19

    3               24                 21

    4               24                24

    5               24                22

    6               19                17

    7               17                15

    8               18                16

    9               20                18

What would be your statistical conclusion using a directional alternative hypothesis test with an alpha = .01?

• Please state the null and alternative hypotheses.
• Using an alpha level of .05, please test the null hypothesis (what is the appropriate test, what is the critical value?). Draw the rejection region.
• Calculate the test statistic
• State the conclusion you are entitled to draw as a result of this test.
• Calculate the effect size as appropriate for the hypothesis test used.

2. A professor believes that psychology students study more than the average college student (after all, psychology students understand the benefits to distributed practice). To test this, the professor records the weekly study rate of a sample of 20 psychology students (M = 21.6, SD = 6.8), and compares this with the University’s data on the average of 18 hours each week a typical college student studies. What is the effect size of this difference?

A professor has a teaching assistant record the amount of time (in minutes) that a sample of 16 students engaged in an active discussion. The assistant observed 8 students in a class who used a slide show presentation and 8 students in a class who did not use a slide show presentation.

Use the normal approximation for the Mann-Whitney U test to analyze the data above. (Round your answer to two decimal places.)
z =  

State whether to retain or reject the null hypothesis. (Assume alpha equal to 0.05.)

Retain the null hypothesis. Reject the null hypothesis.   

Based on a recent study, roughly 14% of all college students in the U.S. are vegetarian or vegan. In a sample of 310 stats students at a particular university it was found that 13.8% are vegetarian or vegan. Does the data provide evidence that the proportion of students who are vegetarian or vegan in this university is lower than the national figure?

3. During the 2019 NFL regular season, the winning team of each game scored an average of 28.6 points. During the 2019 NFL playoffs, over the 11 games of the playoffs, the winning team scored an average of 29.3 points with a standard deviation of 8.9 points. Does the data provide evidence that the average points scored by the winning team in the playoffs is different than the average points scored by the winning team in the regular season.

The price of a certain combo meal at different franchises of a national fast food company varies from​ $5.00 to $17.37 and has a known standard deviation of $2.09. A sample of 29 students in an online course that includes students across the country stated that their average price is ​$6.00. The students have also stated that they are generally unwilling to pay more than ​$6.75for this meal. Formulate and conduct a hypothesis test to determine if you can conclude that the population mean is less than ​$6.75. Use a level of significance of 0.05.

Is there sufficient evidence at the 0.05 level of significance that the population mean is less than $6.75​?

Determine the null​ hypothesis, H0​, and the alternative​ hypothesis,H1.

Compute the test statistic.

Find the​ p-value for the test.

State the conclusion.

1. A bus company wants to test the hypothesis that the proportions of the six types of passengers it carries on a certain route are EQUAL. The six types are: commuters, shoppers, college students, tourists, children, and mall employees. it carries on a certain route are EQUAL. The six types are: commuters, shoppers, college students, tourists, children, and mall employees. On the basis of the following sample of four hundred eighty bus riders, should the company accept this hypothesis at the .10 level of significance: (3 POINTS)

ROUND ALL CALCULATIONS TO 2 DECIMAL PLACES!    SHOW EVERY BIT OF YOUR WORK!!!                           

                           commuters – fifty-three

                           shoppers – seventy-five

                           college students – one hundred ten

                           tourists - eighty

                           children – one hundred

                            mall employees – sixty-two